中文

所有Sylow子群均为d生成的有限群之生成随机元素期望数上界

群论 2016-03-29 v1

摘要

假设有限群GG的所有Sylow子群均可由dd个元素生成。则以有放回方式随机抽取GG的元素,直至找到一组生成元,所需抽取元素的期望数量至多为d+ηd+\eta,其中η2.875065.\eta \sim 2.875065.

关键词

引用

@article{arxiv.1603.08098,
  title  = {A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated},
  author = {Andrea Lucchini},
  journal= {arXiv preprint arXiv:1603.08098},
  year   = {2016}
}